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arXiv · 2401.07956

Vanishing coefficients in two $q$-series related to Legendre-signed partitions

Taylor Daniels
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Abstract

We demonstrate some 10-periodic properties of the coefficients of two $q$-series related to partition numbers signed by the Legendre symbol $(\frac{a}{5})$ and to the Rogers-Ramanujan continued fraction $R(q)$.

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Taylor Daniels. 2024-01-15. Vanishing coefficients in two $q$-series related to Legendre-signed partitions. https://doi.org/10.1007/s40993-024-00566-x

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